Solve the right triangle. 1000 66° Find the length of the side opposite to the given angle. (Round your answer to two decimal places.) Find the length of the side adjacent to the given angle. (Round your answer to two decimal places.) Find the other acute angle.
Solve the right triangle. 1000 66° Find the length of the side opposite to the given angle. (Round your answer to two decimal places.) Find the length of the side adjacent to the given angle. (Round your answer to two decimal places.) Find the other acute angle.
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
100%
![### Solving a Right Triangle
In this problem, you are given a right triangle with one angle measuring 66° and the hypotenuse measuring 1000 units.
#### Diagram:
There is a right triangle in which:
- One angle measures 66° (marked in red),
- The hypotenuse is labeled 1000.
The aim is to find:
1. The length of the side opposite to the given angle of 66°.
2. The length of the side adjacent to the given angle of 66°.
3. The measure of the other acute angle.
#### Steps to Solve:
1. **Find the length of the side opposite to the given angle (66°)**.
\( \text{Length} = \text{Hypotenuse} \times \sin(\text{angle}) \)
Enter your answer (rounded to two decimal places) in the provided textbox.
```plaintext
[ ]
```
2. **Find the length of the side adjacent to the given angle (66°)**.
\( \text{Length} = \text{Hypotenuse} \times \cos(\text{angle}) \)
Enter your answer (rounded to two decimal places) in the provided textbox.
```plaintext
[ ]
```
3. **Find the measure of the other acute angle**.
\( \text{Other angle} = 90° - \text{given angle} = 90° - 66° \)
Enter your answer (rounded to the nearest integer) in the provided textbox.
```plaintext
[ ]°
```](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd285f6f-67ec-4ffa-8e9b-700f12fa780d%2F789063ec-5fe8-41f2-a1db-90d8c94c401c%2F9av110o.jpeg&w=3840&q=75)
Transcribed Image Text:### Solving a Right Triangle
In this problem, you are given a right triangle with one angle measuring 66° and the hypotenuse measuring 1000 units.
#### Diagram:
There is a right triangle in which:
- One angle measures 66° (marked in red),
- The hypotenuse is labeled 1000.
The aim is to find:
1. The length of the side opposite to the given angle of 66°.
2. The length of the side adjacent to the given angle of 66°.
3. The measure of the other acute angle.
#### Steps to Solve:
1. **Find the length of the side opposite to the given angle (66°)**.
\( \text{Length} = \text{Hypotenuse} \times \sin(\text{angle}) \)
Enter your answer (rounded to two decimal places) in the provided textbox.
```plaintext
[ ]
```
2. **Find the length of the side adjacent to the given angle (66°)**.
\( \text{Length} = \text{Hypotenuse} \times \cos(\text{angle}) \)
Enter your answer (rounded to two decimal places) in the provided textbox.
```plaintext
[ ]
```
3. **Find the measure of the other acute angle**.
\( \text{Other angle} = 90° - \text{given angle} = 90° - 66° \)
Enter your answer (rounded to the nearest integer) in the provided textbox.
```plaintext
[ ]°
```
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning